Universal quantum computation with two-level trapped ions

Abstract

Although the initial proposal for ion trap quantum computation made use of an auxiliary internal level to perform logic between ions, this resource is not necessary in principle. Instead, one may perform such operations directly using sideband laser pulses, operating with an arbitrary (sufficiently small) Lamb-Dicke parameter. We explore the potential of this technique, showing how to perform logical operations between the internal state of an ion and the collective motional state and giving explicit constructions for a controlled-not gate between ions.

4 pages, 1 figure, REVTeX

References in corpus (10)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Quantum computation with ions in thermal motion
• Entanglement and quantum computation with ions in thermal motion
• Deterministic entanglement of two trapped ions
• Quantum state engineering on an optical transition and decoherence in a Paul trap
• The Ion Trap Quantum Information Processor
• Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
• Simplified quantum logic with trapped ions
• Quantum gates with "hot" trapped ions
• The Los Alamos Trapped Ion Quantum Computer Experiment

Cited by in corpus (41)

• Quantum computing with trapped ions
• Quantum information processing with circuit quantum electrodynamics
• Process tomography of ion trap quantum gates
• How to realize a universal quantum gate with trapped ions
• Colloquium: Trapped ions as quantum bits -- essential numerical tools
• Universal simulation of Hamiltonian dynamics for qudits
• A n-qubit controlled phase gate with superconducting quantum interference devices coupled to a resonator
• Cold Trapped Ions as Quantum Information Processors
• Three-electron spin qubits
• Strong coupling of spin qubits to a transmission line resonator
• Robust state preparation of a single trapped ion by adiabatic passage
• Entangling distant resonant exchange qubits via circuit quantum electrodynamics
• Qudit Quantum Computation in the Jaynes-Cummings Model
• Quantum Computing with Quantum Dots on Linear Supports
• Quantum information processing using Josephson junctions coupled through cavities
• Qudit-Basis Universal Quantum Computation using ${\chi }^{(2)}$ Interactions
• Quantum computation with two-level trapped cold ions beyond Lamb-Dicke limit
• A quadrupolar exchange-only spin qubit
• Demonstration of a quantum logic gate in a cryogenic surface-electrode ion trap
• Quantum computation with coupled-quantum-dots embedded in optical microcavities
• Controlling Several Atoms in a Cavity
• Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments
• Experimental and theoretical challenges for the trapped electron quantum computer
• Controllability of the coupled spin-half harmonic oscillator system
• Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulses
• Non-adiabatic geometric quantum computation with trapped ions
• Cavity-mediated entanglement of parametrically driven spin qubits via sidebands
• Dark state cooling of a trapped ion using microwave coupling
• Multi-dimensional trio coherent states
• Controllability and universal three-qubit quantum computation with trapped electron states
• An efficient single-step scheme for manipulating quantum information of two trapped ions beyond the Lamb-Dicke limit
• Coherently manipulating two-qubit quantum information using a pair of simultaneous laser pulses
• Long-range two-hybrid-qubit gates mediated by a microwave cavity with red sidebands
• Improved scheme for generation of vibrational trio coherent states of a trapped ion
• Observation of Higher-Order Sideband Transitions and First-Order Sideband Rabi Oscillations in a Superconducting Flux Qubit Coupled to a SQUID Plasma Mode
• Quantum algebra in the mixed light pseudoscalar meson states
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Approximate Controllability of the Two Trapped Ions System
• Artificial Orbitals and a Solution to Grover's Problem
• Towards establishing a connection between two-level quantum systems and physical spaces
• Constructing Qudits from Infinite Dimensional Oscillators by Coupling to Qubits